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maxonik [38]
3 years ago
7

569,074 nearest ten thousand

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
4 0
569,074 to the nearest ten thousand is 570,074 i think
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Suppose that X is a random variable with mean 30 and standard deviation 4. Also suppose that Y is a random variable with mean 50
Vladimir79 [104]

Answer:

a) Var[z] = 1600

    D[z] = 40

b) Var[z] = 2304

    D[z] = 48

c) Var[z] = 80

    D[z] = 8.94

d) Var[z] = 80

    D[z] = 8.94

e) Var[z] = 320

    D[z] = 17.88

Step-by-step explanation:

In general

V([x+y] = V[x] + V[y] +2Cov[xy]

how in this problem Cov[XY] = 0, then

V[x+y] = V[x] + V[y]

Also we must use this properti of the variance  

V[ax+b] = a^{2}V[x]

and remember that

standard desviation = \sqrt{Var[x]}

a) z = 35-10x

   Var[z] = 10^{2} Var[x] = 100*16 = 1600

   D[z] = \sqrt{1600} = 40

b) z = 12x -5

   Var[z] = 12^{2} Var[x] = 144*16 = 2304

   D[z] = \sqrt{2304} = 48

c) z = x + y

   Var[z] =  Var[x+y] = Var[x] + Var[y] = 16 + 64 = 80

   D[z] = \sqrt{80} = 8.94  

d) z = x - y

   Var[z] =  Var[x-y] = Var[x] + Var[y] = 16 + 64 = 80

   D[z] = \sqrt{80} = 8.94

e) z = -2x + 2y

   Var[z] = 4Var[x] + 4Var[y] = 4*16 + 4*64 = 320

  D[z] = \sqrt{320} = 17.88

   

7 0
3 years ago
Jose earns $400 during the summer. He deposits it in an account that pays simple interest at a rate of 3% per year. Which equati
a_sh-v [17]

Answer:

12

Step-by-step explanation:

Since this is simple interest the equation will be P*T*R=I  T=time which is 1 year. P=money invested or borrowed  (aka princable) which is 400$. R=Annual rate is 3% per year and I= Interest after the number of years (aka answer) Hope this helps :)

8 0
3 years ago
Read 2 more answers
Jack invested $2,900 in an account paying an interest rate of 8 % compounded
damaskus [11]

Answer: $628

Step-by-step explanation:

6 0
3 years ago
Maurice spent 1/2 of his money on lunch. He had 2.50 left.<br> How much money did he start with?
OverLord2011 [107]

Answer:

5.0

Step-by-step explanation:

1÷2=2.5

1=2.50×2

=5.0

6 0
3 years ago
a rectangular photograph has an area of 104 square inches. if the width of the photograph is 5 inches less than its hight, find
Umnica [9.8K]
Height is 13 inches. width is 8 inches. dimensions is 42 inches
5 0
3 years ago
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